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World of Nonlinear Systems

  • Richard H. Enns
Chapter
Part of the Springer Undergraduate Texts in Mathematics and Technology book series (SUMAT)

Zusammenfassung

The aim of this text is to illustrate how scientists and engineers are using nonlinear dynamical (evolving with time) equations to mathematically model many of the more interesting and important phenomena that are observed in the world around us. If the time variable can be treated as continuous, these model systems are described by ordinary or partial differential equations (ODEs or PDEs). If the time is regarded as discrete (e.g., due to measurements or observations being made at finite time intervals), the models then involve difference equations. If this sounds mathematically formidable, don’t panic! If you have a working knowledge of basic calculus (derivatives, integrals, Taylor expansions, etc.) and been introduced to linear ODEs, you should have no dificulty in following the mathematical treatment in this book.

Keywords

Difference Equation Solution Curve Logistic Curve Forward Euler Method Verhulst Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Department of PhysicsSimon Fraser UniversityBurnabyCanada

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